Solution:- Rate of diffusion is inversely proportional to the square root of molar mass.
Molar mass of hydrogen is 2 gram per mol and let's say the molar mass of the mixture of the two gases is M.
From given data, hydrogen gas diffuses 4 times as rapidly as a mixture of ethene and carbon dioxide. The formula is written as:
rH2 / rmix = sqrt (Mmix / MH2)
The ratio of rates of diffusion of hydrogen and the mixture of the gases is 4. Let's plug in the values in the formula:
4 = sqrt (M/2)
doing square to both sides:
M = 2(16)
M = 32
So, the molar mass of the mixture of ethene and carbon dioxide is 32 gram per mol.